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Finding the Fourth Proportional to 9,965.41, 13,751.76 and 5,489.06

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Solution

The fourth proportional to 9,965.41, 13,751.76 and 5,489.06 is: 7,574.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.41 : 13,751.76 = 5,489.06 : x
  2. Step 2: Convert to fraction form
    9,965.41/13,751.76 = 5,489.06/x
  3. Step 3: Cross multiply
    9,965.41x = 13,751.76 × 5,489.06
  4. Step 4: Simplify right side
    9,965.41x = 75,484,249.54
  5. Step 5: Solve for x
    x = 75,484,249.54/9,965.41
  6. Step 6: Final answer
    x = 7,574.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.